Evaluate
\frac{d-8}{5\left(d-7\right)}
Expand
\frac{d-8}{5\left(d-7\right)}
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\frac{\left(d+6\right)\left(d-8\right)}{\left(d-7\right)\left(5d+30\right)}
Divide \frac{d+6}{d-7} by \frac{5d+30}{d-8} by multiplying \frac{d+6}{d-7} by the reciprocal of \frac{5d+30}{d-8}.
\frac{\left(d-8\right)\left(d+6\right)}{5\left(d-7\right)\left(d+6\right)}
Factor the expressions that are not already factored.
\frac{d-8}{5\left(d-7\right)}
Cancel out d+6 in both numerator and denominator.
\frac{d-8}{5d-35}
Expand the expression.
\frac{\left(d+6\right)\left(d-8\right)}{\left(d-7\right)\left(5d+30\right)}
Divide \frac{d+6}{d-7} by \frac{5d+30}{d-8} by multiplying \frac{d+6}{d-7} by the reciprocal of \frac{5d+30}{d-8}.
\frac{\left(d-8\right)\left(d+6\right)}{5\left(d-7\right)\left(d+6\right)}
Factor the expressions that are not already factored.
\frac{d-8}{5\left(d-7\right)}
Cancel out d+6 in both numerator and denominator.
\frac{d-8}{5d-35}
Expand the expression.
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